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102202011020096 = 26131947137557621
BaseRepresentation
bin10111001111001111000010…
…100011111110101101000000
3111101212102020212112110200222
4113033033002203332231000
5101343434204310120341
61001210542233002212
730345565052034551
oct2717170243765500
9441772225473628
10102202011020096
112a6236a1902339
12b567526853368
1345047ba5317b0
141b348648aa328
15bc379755e44b
hex5cf3c28feb40

102202011020096 has 112 divisors (see below), whose sum is σ = 234794353839360. Its totient is φ = 43736720394240.

The previous prime is 102202011020093. The next prime is 102202011020099. The reversal of 102202011020096 is 690020110202201.

It is an interprime number because it is at equal distance from previous prime (102202011020093) and next prime (102202011020099).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202011020093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68035835 + ... + 69521786.

It is an arithmetic number, because the mean of its divisors is an integer number (2096378159280).

Almost surely, 2102202011020096 is an apocalyptic number.

102202011020096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102202011020096 is an abundant number, since it is smaller than the sum of its proper divisors (132592342819264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102202011020096 is a wasteful number, since it uses less digits than its factorization.

102202011020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137557712 (or 137557702 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 102202011020096 its reverse (690020110202201), we get a palindrome (792222121222297).

The spelling of 102202011020096 in words is "one hundred two trillion, two hundred two billion, eleven million, twenty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 47 52 64 76 94 104 152 188 208 247 304 376 416 494 608 611 752 832 893 988 1216 1222 1504 1786 1976 2444 3008 3572 3952 4888 7144 7904 9776 11609 14288 15808 19552 23218 28576 39104 46436 57152 92872 185744 371488 742976 137557621 275115242 550230484 1100460968 1788249073 2200921936 2613594799 3576498146 4401843872 5227189598 6465208187 7152996292 8803687744 10454379196 12930416374 14305992584 20908758392 25860832748 28611985168 33976732387 41817516784 51721665496 57223970336 67953464774 83635033568 84047706431 103443330992 114447940672 122838955553 135906929548 167270067136 168095412862 206886661984 245677911106 271813859096 336190825724 413773323968 491355822212 543627718192 672381651448 982711644424 1087255436384 1344763302896 1596906422189 1965423288848 2174510872768 2689526605792 3193812844378 3930846577696 5379053211584 6387625688756 7861693155392 12775251377512 25550502755024 51101005510048 102202011020096